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What is the Least Common Multiple of 16892 and 16904?

Least common multiple or lowest common denominator (lcd) can be calculated in two way; with the LCM formula calculation of greatest common factor (GCF), or multiplying the prime factors with the highest exponent factor.

Least common multiple (LCM) of 16892 and 16904 is 71385592.

LCM(16892,16904) = 71385592

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Least Common Multiple of 16892 and 16904 with GCF Formula

The formula of LCM is LCM(a,b) = ( a × b) / GCF(a,b).
We need to calculate greatest common factor 16892 and 16904, than apply into the LCM equation.

GCF(16892,16904) = 4
LCM(16892,16904) = ( 16892 × 16904) / 4
LCM(16892,16904) = 285542368 / 4
LCM(16892,16904) = 71385592

Least Common Multiple (LCM) of 16892 and 16904 with Primes

Least common multiple can be found by multiplying the highest exponent prime factors of 16892 and 16904. First we will calculate the prime factors of 16892 and 16904.

Prime Factorization of 16892

Prime factors of 16892 are 2, 41, 103. Prime factorization of 16892 in exponential form is:

16892 = 22 × 411 × 1031

Prime Factorization of 16904

Prime factors of 16904 are 2, 2113. Prime factorization of 16904 in exponential form is:

16904 = 23 × 21131

Now multiplying the highest exponent prime factors to calculate the LCM of 16892 and 16904.

LCM(16892,16904) = 23 × 411 × 1031 × 21131
LCM(16892,16904) = 71385592